2112110011021 has 2 divisors, whose sum is σ = 2112110011022. Its totient is φ = 2112110011020.

The previous prime is 2112110011003. The next prime is 2112110011111. The reversal of 2112110011021 is 1201100112112.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1399122294025 + 712987716996 = 1182845^2 + 844386^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112110011021 - 2¹⁷ = 2112109879949 is a prime.

It is a super-2 number, since 2×2112110011021² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112110010992 and 2112110011010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112110011321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056055005510 + 1056055005511.

It is an arithmetic number, because the mean of its divisors is an integer number (1056055005511).

Almost surely, 2^{2112110011021} is an apocalyptic number.

It is an amenable number.

2112110011021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112110011021 is an equidigital number, since it uses as much as digits as its factorization.

2112110011021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2112110011021 its reverse (1201100112112), we get a palindrome (3313210123133).

The spelling of 2112110011021 in words is "two trillion, one hundred twelve billion, one hundred ten million, eleven thousand, twenty-one".